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345264114 = 231343311331
BaseRepresentation
bin10100100101000…
…100111111110010
3220001200020022210
4110211010333302
51201341422424
654132112550
711361460626
oct2445047762
9801606283
10345264114
11167990048
1297765756
13566b86c0
1433bd7186
15204a0729
hex14944ff2

345264114 has 64 divisors (see below), whose sum is σ = 765692928. Its totient is φ = 103118400.

The previous prime is 345264103. The next prime is 345264121. The reversal of 345264114 is 411462543.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042929 + ... + 1043259.

It is an arithmetic number, because the mean of its divisors is an integer number (11963952).

Almost surely, 2345264114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345264114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382846464).

345264114 is an abundant number, since it is smaller than the sum of its proper divisors (420428814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345264114 is a wasteful number, since it uses less digits than its factorization.

345264114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its digits is 11520, while the sum is 30.

The square root of 345264114 is about 18581.2839707056. The cubic root of 345264114 is about 701.5368370389.

The spelling of 345264114 in words is "three hundred forty-five million, two hundred sixty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 311 331 559 622 662 933 993 1118 1677 1866 1986 3354 4043 4303 8086 8606 12129 12909 13373 14233 24258 25818 26746 28466 40119 42699 80238 85398 102941 173849 185029 205882 308823 347698 370058 521547 555087 617646 1043094 1110174 1338233 2676466 4014699 4426463 8029398 8852926 13279389 26558778 57544019 115088038 172632057 345264114